Title :
Approximate synthesis of weighted l∞-optimal compensators
Author_Institution :
Dept. of Eng. Sci., Trinity Univ., San Antonio, TX, USA
Abstract :
The problem is to find linear time invariant compensators which minimize an incremental weighted norm of the closed-loop system, and it is equivalent to a minimum distance problem in l1. The main results establish that, under mild conditions, a minimizer for the problem exists. The author also gives a method for computing an infimizing sequence of suboptimal solutions based on FIR approximation, and a method for computing a converging lower bound on the infimal norm. All required computations are equivalent to finite linear programs
Keywords :
closed loop systems; compensation; control system synthesis; linear programming; minimisation; optimal control; FIR approximation; approximate synthesis; closed-loop system; converging lower bound; finite linear programs; incremental weighted norm; infimal norm; l1 problem; linear time invariant compensators; minimum distance problem; suboptimal solutions; weighted l∞-optimal compensators; Analog integrated circuits; Convolution; Delay effects; Finite impulse response filter; MIMO; Matrix decomposition; Optimized production technology; Vectors; Virtual reality;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411047
